Categorifying computable reducibilities

This paper presents categorical formulations of Turing, Medvedev, Muchnik, and Weihrauch reducibilities in Computability Theory, utilizing Lawvere doctrines. While the first notions lend themselves to a smooth categorical presentation, essentially dualizing the traditional idea of realizability doct...

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Bibliographic Details
Main Authors: Davide Trotta, Manlio Valenti, Valeria de Paiva
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2025-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:http://lmcs.episciences.org/11378/pdf
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